DF-DD for channels with phase noise

In this paper, we design decision-feedback differential detection (DF-DD) schemes for channels with phase noise. If the DF-DD feedback filter is properly optimized, a performance similar to that of more complex, some reported schemes based on multiple-symbol detection [K. Kiasaleh (December 1997)] and expectation maximization (EM) [E. Chiavaccini and G.M. Vitetta (December 2001)] can be achieved. However, it is also shown that an error floor is unavoidable. In contrast to previously proposed receivers for channels with phase noise, the DF-DD receiver can be made robust against unknown frequency offsets by introducing a simple linear constraint.